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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 268r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 267v); this page is its right half.

The machine reads it as

  1. AF Ra AG= R42a. AH R43a. AE R9 44.
  2. (a)
  3. AB AOF= aa 2 = (a)
  4. (24)
  5. i
  6. = Ra, a= a
  7. 6
  8. 7I
  9. a - a + aqua = (02 + Rq 2a
  10. 4
  11. CGH = R92a a - R92a , + 143a =- Rqra,
  12. ((2 2a + 193 a) - 192at
  13. DEINIa 24- a p a+ p a Ca - a + 293a
  14. (4 + Rg0a 7
  15. t
  16. + a = 1a + XRq2a + X qu
  17. ABCd =64AEG = a AB. Ba = AD. dC. BC.
  18. AFGHCd = 3 +3+2, + 5+ L + 6+ h + (47)18+ 4 - n 4
  19. u
  20. = 95.4 ergo
  21. ABCHGF - 64- 95 - 128 = 9533716 2
  22. +5.5 2 +3.
  23. Momentum i hilinci Converi ex AdC, ex AD.
  24. 2 s
  25. 24a a
  26. 2+2, 4 +1. 4 = f + 11 = 32.
  27. 3a +a. 24
  28. AIF momentum ex AI. est pyramis AIF dimidiata. Py ramisautem est Fi H -9a:
  29. a A1- a
  30. B ergo perdum moneolum 3a3
  31. Rectanguli ARF momentum est rectangulum = 3a in 3a = 9a
  32. tianguli FNGLa 9a + 2a = 11a
  33. Rectantuti MRXG momentum ep Ga 5a = - 25a3
  34. tiansili G0 es 2a 5a + 2a , 15a Y 24 a Ey a 52a 2+a
  35. 3
  36. Rectanguli MDH = 28 a C
  37. trianguli APC. 44 2E
  38. a3
  39. Ergo am ergo summa sit Momentium seu promentum totius
  40. Tilinei convegi erit 211564
  41. qua divisa per sumia hilinci 95 a siiet
  42. distantia
  43. ponatur gd DZ esse 312 centrum gravitatis
  44. 312a- 3ara
  45. 5
  46. 15
  47. Trilinei erit in recta gdR; ac prointe recta QR. lisecabit promenta
  48. Trilimci ex recta DC. quod an verum sit, ita inveniemus.
  49. 7a - 147a3
  50. hiauguili AF 34C 3a a =na, - 66 a- 11 a
  51. Rectanguli sen
  52. 27aba Z5 3a = 27a 184 = 48b a
  53. i
  54. Ab alho latge habemus Rectangulum ZX7G G - 2a + 272a - 27 a (B a = 36a - + 86c
  55. Rectansulum OHP = Ba
  56. 2a = iha
  57. 95
  58. 2466 4a + 2= 8a + 2a- 29 a
  59. 31
  60. Cmmnareae a + a
  61. 3 a
  62. 88
  63. 156 a
  64. 26
  65. Momentaum rectanguli IdSF 2Y a
  66. de Residuo N +VZ mox
  67. Triangulum oGH
  68. AB 7 C
  69. ses
  70. le
  71. Oistantia centri gra
  72. ditasis momentis aba

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 268r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067993:0537?run=73